# In a triangle, one angle is of 90°. Then(i) The other two angles are of 45° each(ii) In remaining two angles, one angle is 90° and other is 45°(iii) Remaining two angles are complementaryIn the given option(s) which is true?A. (i) onlyB. (ii) onlyC. (iii) onlyD. (i) and (ii)

Given: In triangle one angle is 90°

Formula Used/Theory:-

Sum of angles of triangle is 180°

Moving to 1st option

The other two angles are of 45° each

This can be happen only if triangle is isosceles right angle Δ

this can be but not necessary every time

Moving to 2nd option

In remaining two angles, one angle is 90° and other is 45°

This cannot be possible because angle sum of triangle is beyond 180° which is not possible

Moving to 3rd option

Remaining two angles are complementary

As one angle is 90° and sum of angles of triangle is 180°

the sum of both angle is always 90°

only 3rd statement is correct.

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